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Finding the Fourth Proportional to 1,511.28, 2,257.74 and 959.04

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Solution

The fourth proportional to 1,511.28, 2,257.74 and 959.04 is: 1,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.28 : 2,257.74 = 959.04 : x
  2. Step 2: Convert to fraction form
    1,511.28/2,257.74 = 959.04/x
  3. Step 3: Cross multiply
    1,511.28x = 2,257.74 × 959.04
  4. Step 4: Simplify right side
    1,511.28x = 2,165,262.97
  5. Step 5: Solve for x
    x = 2,165,262.97/1,511.28
  6. Step 6: Final answer
    x = 1,432.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.